On the Breuil-Mézard conjecture Page 1 ON THE BREUIL–MÉZARD CONJECTURE
VYTAUTAS PAŠK UNAS Abstract We give a new local proof of the Breuil–Mézard conjecture …

Abstract (The p-adic local Langlands correspondence for GL2 (Qp)) The p-adic local
Langlands correspondence for GL2 (Qp) is a bijection between some 2-dimensional …

The paper formulates a precise relationship between the Tate–Shafarevich group of an
elliptic curve E over ℚ with a quotient of the class group of ℚ (E [p]) on which Gal (ℚ (E [p])∕ …

We describe the semi-simplification of the mod $ p $ reduction of certain crystalline two
dimensional local Galois representations of slopes in the interval $(1, 2) $ and all weights …

Slopes of Modular Forms and the Ghost Conjecture Page 1 J. Bergdall and R. Pollack (2017)
“Slopes of Modular Forms and the Ghost Conjecture,” Slopes of Modular Forms and the Ghost …

We determine rational Kisin modules associated with 2-dimensional, irreducible, crystalline
representations of of Hodge–Tate weights. If the slope is larger than, we further identify an …

We compute the reductions of irreducible crystalline two-dimensional representations of GQ
p of slope 1, for primes p≥ 5, and all weights. We describe the semisimplification of the …

We show that certain modular induced representations of GL 2⁢(F q) can be written as
cokernels of operators acting on symmetric power representations of GL 2⁢(F q). When the …

We describe the semisimplification of the mod p reduction of certain crystalline two
dimensional local Galois representations of weights bounded by p 2− p and slopes in (1, 2) …

In this article, we prove the existence of rigid analytic families of $ G $-stable lattices with
locally constant reductions inside families of representations of a topologically compact …